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Using his extensive measurements of the properties of gases, [6] [7] Mendeleev also calculated it with high precision, within 0.3% of its modern value. [8] The gas constant occurs in the ideal gas law: = = where P is the absolute pressure, V is the volume of gas, n is the amount of substance, m is the mass, and T is the thermodynamic temperature.
The ideal gas law, ... is the amount of substance; and is the ideal gas constant. It can also be ... R has for value 8.314 J/(mol ...
The ideal gas law is the equation of state for an ideal gas, given by: = where P is the pressure; V is the volume; n is the amount of substance of the gas (in moles) T is the absolute temperature; R is the gas constant, which must be expressed in units consistent with those chosen for pressure, volume and temperature.
Ideal gas law: p = pressure; V = volume of container; T = temperature; n = amount of substance; R = gas constant; N = number of molecules; k = Boltzmann constant = = ...
It states that, for a given mass of an ideal gas at constant pressure, the volume is directly proportional to its absolute temperature, assuming in a closed system. The statement of Charles' law is as follows: the volume (V) of a given mass of a gas, at constant pressure (P), is directly proportional to its temperature (T).
Macroscopically, the ideal gas law states that, for an ideal gas, the product of pressure p and volume V is proportional to the product of amount of substance n and absolute temperature T: =, where R is the molar gas constant (8.314 462 618 153 24 J⋅K −1 ⋅mol −1). [4]
In physics, the thermal equation of state is a mathematical expression of pressure P, temperature T, and, volume V.The thermal equation of state for ideal gases is the ideal gas law, expressed as PV=nRT (where R is the gas constant and n the amount of substance), while the thermal equation of state for solids is expressed as:
By ideal gas law, =, and since =, the Loschmidt constant is given by the relationship =, where k B is the Boltzmann constant, p 0 is the standard pressure, and T 0 is the standard thermodynamic temperature.